Using the fundamental counting theorem, it is found that 17,576,000 different license plates can be manufactured.
Fundamental counting theorem:
States that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- Since repetition is allowed, for the 3 letters, there are 26 outcomes, hence .
- For the 3 numbers, there are 10 outcomes, hence
Then:
17,576,000 different license plates can be manufactured.
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Answer:
(b) There are 7 gallons left in the tank after 4 minuted
Step-by-step explanation:
Given
time since water began draining
gallons in the tank
Solving (a): Notation for gallons remaining at 4 minutes
This means that
becomes
Solving (b): Interpret f(4) = 7
We have:
time since water began draining
gallons in the tank
This means that:
It can be interpreted as:
There are 7 gallons left in the tank after 4 minuted
Answer:
d. Reject H0 if t < -1.6604
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that the mean number of tissues used during a cold is significantly less than 60.
Then, the null and alternative hypothesis are:
The significance level is 0.05.
The critical value for a level of significance is α=0.05, a left-tailed test and 99 degrees of freedom is tc=-1.6604.
The decision rule is that if the test statistic is below tc=-1.6604, the null hypothesis is rejected.
Answer:
Step-by-step explanation:
Isolate the variable, do this by first multiplying both sides by two
Subtract 2x from both sides of the equation
Add one to both sides of the equation
Divide both sides by 2